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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Mathematics
Chapter
Sets and Relations

NTA Abhyas 2020 · Mathematics · Sets and Relations

If A = \ x: x = 3 ^ n - 2n - 1, n ∈ ℕ\ and B = \ x: x = 4(n - 1), n...

If A={x:x=3n−2n−1,n∈N}A = \left\{x: x = {3}^{n} - 2n - 1, n \in \mathbb{N}\right\} and B={x:x=4(n−1),n∈N}B = \left\{x: x = 4\left(n - 1\right), n \in \mathbb{N}\right\}, then

Options

  1. AA⊂BA ⊂ B
  2. BB⊂AB ⊂ A
  3. CA∪B=AA \cup B = A
  4. DA∩B=BA \cap B = B

Correct answer

A. A⊂BA ⊂ B

Step-by-step solution

A={0,4,20,72……..}A = \left\{0, 4, 20, 72 \ldots \ldots..\right\}
B={0,4,8,12……..}B = \left\{0, 4, 8, 12 \ldots \ldots..\right\}

Clearly, A⊂BA ⊂ B

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